CT

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[2025-06-19, 0 new articles found for mathCT Category Theory]

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program on the relationship between cyclic 2-Segal spaces and planar cyclic $\infty$-operads. [3/3]

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Brandon Doherty, Philip Hackney
"Models for cyclic infinity operads"https://t.co/2rjQy3rhgK

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s answers in the affirmative a question of the second author and Drummond-Cole concerning model structures for cyclic $\infty$-operads. We infer similar statements for planar cyclic $\infty$-operads, providing the model-categorical foundation needed to complete Walde's ...[2/3]

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The present work consists of topics covered through a course currently taught by the author at SIMIS. [1/1]

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Veronica Pasquarella
"Homological Mirror Symmetry Course at SIMIS: Introduction and Applications"https://t.co/DDvY4k25qb

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[2025-06-18, 2 new articles found for mathCT Category Theory]

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porting of some results in the last section; a subsequent version including a detailed introduction and full proofs will follow. [4/4]

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Dionne Ibarra, Gabriel Montoya-Vega, Benjamin Morris
"Temperley-Lieb Categories on Non-Orientable Surfaces"https://t.co/vltKpvV3iL

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on the TL category, and a full set of monoidal generators is given, which includes the TL generators, a family of orientable genus one diagrams, and a family of non-orientable diagrams.
This document constitutes an initial draft of ongoing research withpreliminary re...[3/4]

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Let $X$ be a topological space equipped with a basis. We prove that, for every $\infty$-category $\mathcal{C}$ with limits, the restriction functor from $\mathcal{C}$-valued hypersheaves on $X$ to basic hypersheaves is an equivalence of $\infty$-categories. [1/1]

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Tobias Dyckerhoff, Till Heine, Simon Schneider
"Hypersheaves and bases"https://t.co/yQ44nCUDUP

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[2025-06-17, 2 new articles found for mathCT Category Theory]

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In all $\kappa$-accessible additive categories, $\kappa$-pure monomorphisms and $\kappa$-pure epimorphisms are well-behaved, as shown in our previous paper arXiv:2311[.]02418. This is known to be not always true in $\kappa$-accessible nonadditive categories. Nevertheles...[1/4]

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Leonid Positselski
"On pure monomorphisms and pure epimorphisms in accessible categories"https://t.co/GTdWlecW4t

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tems and categorical Galois structures. We describe several examples of these torsion theories, in the dual of elementary toposes, in varieties of universal algebras used as models for non-classical logic, and in coslices of the category of abelian groups. [2/2]

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Andrea Cappelletti, Andrea Montoli
"Torsion Theories in a Non-pointed Context"https://t.co/9HgRtnIz9O

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We study a non-pointed version of the notion of torsion theory in the framework of categories equipped with a posetal monocoreflective subcategory such that the coreflector inverts monomorphisms. We explore the connections of such torsion theories with factorization sys...[1/2]